mbhatti_95
Please solve giving stepbystep detail:
lim x> pi/2 (tanx(^cosx))



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sauravshakya
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dw:1353247002489:dwIS your question?

mbhatti_95
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yes!

sauravshakya
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dw:1353247058619:dw

sauravshakya
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And anything to the power 0 is 1

sauravshakya
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Does it help?

mbhatti_95
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anything except infinity as tan(pi/2) = infinity..
infinity ^ zero is undefined.

cinar
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take log first

cinar
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cosx log tanx=(log tanx)/(1/cosx) = infinity /infinity
use L'hospital rule

mbhatti_95
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how'd you get 1/cos x?

cinar
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they equal each other

cinar
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if you flip over RHS you can get LHS

cinar
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and answer is e

mbhatti_95
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ok thanks i get it now :)

cinar
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answer is 1 I made a mistake..

mbhatti_95
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yeah i just wasnt able to get infinity/infinity. can solve the rest. ty

cinar
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np..